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Finding the Fourth Proportional to 165,029.12, 227,744.88 and 89,582.48

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Solution

The fourth proportional to 165,029.12, 227,744.88 and 89,582.48 is: 123,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,029.12 : 227,744.88 = 89,582.48 : x
  2. Step 2: Convert to fraction form
    165,029.12/227,744.88 = 89,582.48/x
  3. Step 3: Cross multiply
    165,029.12x = 227,744.88 × 89,582.48
  4. Step 4: Simplify right side
    165,029.12x = 20,401,951,157.70
  5. Step 5: Solve for x
    x = 20,401,951,157.70/165,029.12
  6. Step 6: Final answer
    x = 123,626.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.